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Finding the Fourth Proportional to 13,802, 20,703.16 and 3,413.84

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Solution

The fourth proportional to 13,802, 20,703.16 and 3,413.84 is: 5,120.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802 : 20,703.16 = 3,413.84 : x
  2. Step 2: Convert to fraction form
    13,802/20,703.16 = 3,413.84/x
  3. Step 3: Cross multiply
    13,802x = 20,703.16 × 3,413.84
  4. Step 4: Simplify right side
    13,802x = 70,677,275.73
  5. Step 5: Solve for x
    x = 70,677,275.73/13,802
  6. Step 6: Final answer
    x = 5,120.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.